490675261440 has 1664 divisors, whose sum is σ = 2113671168000. Its totient is φ = 94277468160.

The previous prime is 490675261403. The next prime is 490675261457. The reversal of 490675261440 is 44162576094.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 490675261440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3293122486 + ... + 3293122634.

Almost surely, 2^490675261440 is an apocalyptic number.

490675261440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490675261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056835584000).

490675261440 is an abundant number, since it is smaller than the sum of its proper divisors (1622995906560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

490675261440 is a wasteful number, since it uses less digits than its factorization.

490675261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 490675261440 in words is "four hundred ninety billion, six hundred seventy-five million, two hundred sixty-one thousand, four hundred forty".